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23 1 point Solve for x. Round your answer to the nearest 2 decimal places 12 1 Type your answer. 2 3 3 1 point Solve for x. Round your answer to the nearest 2 decimal places.

23 1 point Solve for x. Round your answer to the nearest 2 decimal places 12 1 Type-example-1
User Aleation
by
5.4k points

1 Answer

4 votes

Answer

x = 6.71 units

Step-by-step explanation

In a right-angle triangle, the side opposite the right angle is the Hypotenuse, the side opposite the given angle that is non-right angle is the Opposite and the remaining side is the Adjacent.

For this question,

Hypotenuse = 12

Opposite = x

Adjacent = ?

Angle = 34°

So, using trignometric ratios, we can say

Sin 34° = (Opp/Hyp)

Sin 34° = (x/12)

Sin 34° = 0.5592

Sin 34° = (x/12)

0.5592 = (x/12)

Cross multiply

x = 12 (0.5592)

x = 6.71 units

Hope this Helps!!!

User Adi Bradfield
by
6.0k points